Mayur Arya
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Puzzle: I am an acute angle. If you double my measure, you get an acute angle. If you triple my measure, you will get an acute angle again. If you quadruple (four times) my measure, you will get an acute angle yet again! But if you multiply my measure by 5, you will get an obtuse angle measure. What are the possibilities for my measure?

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The angle is less than 18°. Doubling, tripling, or quadrupling the angle must keep it below 90°. However, multiplying by 5 must exceed 90° but stay below 180°, so possible measures are 1°–17°.

class 6 Mathematics Textbook Chapter 2 question answer

class 6 Mathematics Chapter 2 Lines and Angles solutions

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1 Answer

  1. To solve, consider that the angle is acute (90°), limiting the maximum to 18°. Possible measures are between 1° and 17°. For example, 17° fits: doubling (34°), tripling (51°), and quadrupling (68°) are acute, while multiplying by 5 gives 85°, an obtuse angle.

    For more NCERT Solutions for Class 6 Math Chapter 2 Lines and Angles Extra Questions and Answer:
    https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-2/

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